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Finding the Fourth Proportional to 685.88, 946.32 and 511.28

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Solution

The fourth proportional to 685.88, 946.32 and 511.28 is: 705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.88 : 946.32 = 511.28 : x
  2. Step 2: Convert to fraction form
    685.88/946.32 = 511.28/x
  3. Step 3: Cross multiply
    685.88x = 946.32 × 511.28
  4. Step 4: Simplify right side
    685.88x = 483,834.49
  5. Step 5: Solve for x
    x = 483,834.49/685.88
  6. Step 6: Final answer
    x = 705.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.